Question

Катер имеющий собственную скорость 15 км ч проплыл 2 в по течению реки. На обратный путь он затратил 3 часа. Какова скорость по течению реки

Answer 1

Х-скорость течения реки , 15-х скорость катера против течения реки
(15 - х) * 3
30 + 2х = 45 - 3х
2х + 3х = 45 - 30
5х = 15
х = 15/5
х = 3 км/ч - скорость реки
(15 + 3) * 2 = (15 - 3) * 3
18 * 2 = 12 * 3
36 = 36 (км) - расстояние между пристанями 

Answer 2

Calculating the River's Current Speed

To calculate the speed of the river's current, we can use the formula:

Boat's speed in still water = (Speed downstream + Speed upstream) / 2

Given: - Boat's speed in still water = 15 km/h - Time taken to travel downstream = 2 hours - Time taken to travel upstream = 3 hours

Using the formula, we can calculate the speed of the river's current:

Speed downstream = Boat's speed in still water + Speed of the river's current Speed upstream = Boat's speed in still water - Speed of the river's current

We can then solve for the speed of the river's current.

Calculation

Using the given information, we can calculate the speed of the river's current:

Speed downstream = 15 + Speed of the river's current Speed upstream = 15 - Speed of the river's current

Given: - Time taken to travel downstream = 2 hours - Time taken to travel upstream = 3 hours

We can use the formula: Distance = Speed × Time to calculate the distance traveled in each direction.

Let's calculate the speed of the river's current.